Joining up to the generalized high degrees

Ellison, Philip; and Lewis-Pye, Andrew (2010) Joining up to the generalized high degrees Proceedings of the American Mathematical Society, 138 (8). pp. 2949-2960. ISSN 0002-9939
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We show that every generalized high Turing degree is the join of two minimal degrees, thereby settling a conjecture of Posner's from the 70s.

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